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Nonabelien Jacobian of Projective Surfaces
Igor Reider
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Description for Nonabelien Jacobian of Projective Surfaces
Paperback. Series: Lecture Notes in Mathematics. Num Pages: 227 pages, biography. BIC Classification: PBF; PBMW. Category: (P) Professional & Vocational. Dimension: 236 x 158 x 13. Weight in Grams: 350.
The Jacobian of a smooth projective curve is undoubtedly one of the most remarkable and beautiful objects in algebraic geometry. This work is an attempt to develop an analogous theory for smooth projective surfaces - a theory of the nonabelian Jacobian of smooth projective surfaces. Just like its classical counterpart, our nonabelian Jacobian relates to vector bundles (of rank 2) on a surface as well as its Hilbert scheme of points. But it also comes equipped with the variation of Hodge-like structures, which produces a sheaf of reductive Lie algebras naturally attached to our Jacobian. This constitutes a nonabelian analogue ... Read more
The Jacobian of a smooth projective curve is undoubtedly one of the most remarkable and beautiful objects in algebraic geometry. This work is an attempt to develop an analogous theory for smooth projective surfaces - a theory of the nonabelian Jacobian of smooth projective surfaces. Just like its classical counterpart, our nonabelian Jacobian relates to vector bundles (of rank 2) on a surface as well as its Hilbert scheme of points. But it also comes equipped with the variation of Hodge-like structures, which produces a sheaf of reductive Lie algebras naturally attached to our Jacobian. This constitutes a nonabelian analogue ... Read more
Product Details
Format
Paperback
Publication date
2013
Publisher
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Germany
Number of pages
250
Condition
New
Series
Lecture Notes in Mathematics
Number of Pages
227
Place of Publication
Berlin, Germany
ISBN
9783642356612
SKU
V9783642356612
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Nonabelien Jacobian of Projective Surfaces
From the reviews: “The book is well written, listing the main ideas in sections, and giving the successive results as they appear. The idea of a Jacobian on surfaces is new and important, and this book is the initiation of the study of this interesting object.” (Arvid Siqveland, Mathematical Reviews, November, 2013)